Name:_______________________________ Period:___ Date:______________________ Area and Perimeter of a Square Assignment Complete the following problems on a separate sheet of notebook paper. 1. What is the area and perimeter of the figure on the board? 2. What is the area of a square with a side-length of inches? 3. What is the perimeter of a square with a side length of centimeters? 4. A small square is located inside a bigger square. The length of one side of the small square is 3 inches and the length of one side of the big square is 7 inches. What is the area of the region located outside the small square, but inside the big square? 5. You are tiling the floor of a bathroom in your house. What is the length of the square floor if its area is 25ft2? 6. You are mowing a field. If the perimeter of this square field is 10 miles, what is the length of one side of the field that you must mow? 7. The side length of a smaller square is 2 inches. The side length of a larger square is 4 inches. Compare the areas of the two squares. 8. A square has a perimeter of 24 yards. What is the area of the square? 9. A square kitchen has an area of 100 square feet. What is the room’s perimeter? 10. The area of square photo is 25 square inches. Angie decided to enlarge the photo by doubling the sides. What will the new area be? Name:_______________________________ Period:___ Date:______________________ Area and Perimeter of a Rectangle Assignment Complete the following problems on a separate sheet of notebook paper. 1. What is the area and perimeter of the figure on the board? 2. Molly and Ted built pens for their dogs. Molly made a pen 12 meters by 8 meters. Ted's pen is 15 meters by 6 meters. Who will need more fencing to build the pen? 3. The length of a rectangular field is 75 meters. Its width is 15 meters. Sofie ran around the track 3 times. How far did she run? 4. You are painting a feature wall in your home that is feet by feet. How many square feet will you cover with paint? You also want to put a border around this wall. How many feet of border will you need? 5. You are carpeting a 13.25 feet x 15.75 feet rectangular floor in your home. How many square feet of carpet will you need? 6. The perimeter of a rectangle is 104m. The length is 7m more than twice the width. What are the dimensions of the rectangle? 7. The length of a rectangle is 19 feet longer than the width If the perimeter is 46 feet, what are the dimensions of the rectangle? 8. A rectangle's length is 2x + 1 and its width is 2x – 1. If its area is 15 cm2, what are the rectangle's dimensions and what is its perimeter? 9. A rectangle has a length that is 2 less than 3 times the width. If the area of this rectangle is 16 square inches, find the dimensions and the perimeter. 10. A room whose area is 24 ft2 has a length that is 2 feet longer than the width. What are the dimensions of the room?
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